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Finding the Fourth Proportional to 17,729.83, 24,478.55 and 11,024.57

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Solution

The fourth proportional to 17,729.83, 24,478.55 and 11,024.57 is: 15,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.83 : 24,478.55 = 11,024.57 : x
  2. Step 2: Convert to fraction form
    17,729.83/24,478.55 = 11,024.57/x
  3. Step 3: Cross multiply
    17,729.83x = 24,478.55 × 11,024.57
  4. Step 4: Simplify right side
    17,729.83x = 269,865,576.73
  5. Step 5: Solve for x
    x = 269,865,576.73/17,729.83
  6. Step 6: Final answer
    x = 15,220.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.